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Hall effect on thermal stability of ferromagnetic fluid in the presence of suspended particles

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with the theoretical investigation of the effect of Hall currents and suspended particles on the thermal stability of a ferromagnetic fluid heated from below. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. A dispersion relation governing the effects of suspended particles and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field has a stabilizing effect, whereas the suspended particles and Hall currents are found to have a destabilizing effect on the system. The critical Rayleigh numbers and wave numbers of the associated disturbances for the onset of stability as stationary convection are obtained. The principle of exchange of stabilities is not valid for the problem under consideration, whereas in the absence of Hall currents (hence magnetic field), it is valid under certain conditions.
Rocznik
Strony
349--365
Opis fizyczny
Bibliogr. 19 poz., wykr.
Twórcy
autor
  • Department of Mathematics Jaypee Institute of Information Technology A-10, Sector-62, Noida (UP) - 201307, INDIA, amrish.aggarwal@jiit.ac.in
Bibliografia
  • Aggarwal A.K. and Prakash K. (2009): Effect of suspended particles and rotation on thermal stability of ferromagnetic fluids. - Int. J. of Applied Mechanics and Engineering, vol.14, No.1, pp.55-66.
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  • Gupta A.S. (1967): Hall effects on thermal stability. - Rev. Roum. Maths. Pure Appl., vol.12, pp.665-677.
  • Hathaway D.B. (1979): Use of ferromagnetic fluids in moving coil loudspeakers. - dBSoundEng. Mag., vol.13, pp.42-44.
  • Lalas D.P. and Carmi S. (1971): Thermoconvective stability of ferromagnetic fluids. - Phys. Fluids, vol.14, pp.436-437.
  • Morimoto Y., Akimoto M. and Yotsumoto Y. (1982): Dispersion state of protein-stabilized magnetic emulsions. - Chem. Pharm. Bull., vol.30, pp.3024-3027.
  • Moskowitz R. (1975): Dynamic sealing with magnetic fluids. - ASLE Trans., vol.18, No.2, pp.135-143.
  • Odenbach S. (2002): Magnetoviscous effects in ferrfluids. - Berlin, Heidelberg: Springer-Verlag.
  • Penfield P. and Haus H.A (1967): Electronics of moving media. - Cambridge Massachusetts: MIT Press.
  • Raghavachar M.R. and Gothandaraman V.S. (1988): Hydromagnetic convection in a rotating fluid layer in the presence of Hall current. - Geophys. Astro. Fluid Dyn., vol.45, pp.199-211.
  • Rosenweig R.E. (1979): Advances in electronics and electron physics, 48L, Marton [Ed.] - New York: Academic Press, p.103.
  • Rosenwieg R.E. (1985): Ferrohydrodynamics. - Cambridge: Cambridge University Press.
  • Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Benard convection. - Phys. Fluids, vol.16, pp.1573-1578.
  • Sharma R.C. and Aggarwal A.K. (2006): Effect of compressibility and suspended particles on thermal convection in a Walters'B' elastico-viscous fluid in hydromagnetics. - Int. J. of Applied Mechanics and Engineering, vol.11, pp.391-399.
  • Sharma R.C. and Gupta U. (1993): Thermal stability of compressible fluids with Hall currents and suspended particles in porous medium. - Int. Journal of Eng. Sci., vol.31, No.7, pp.1053-1060.
  • Sharma R.C., Prakash K. and Dube, S.N. (1976): Effect of suspended particles on the onset of Benard convection in hydromagnetics. - Acta Physica Hungarica, vol.40, pp.3-10.
  • Shliomis M.I. (1974): Magnetic fluids. - Soviet Phys. Uspekhi (Engl. Transl.), vol.17, pp.153-169.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0027-0001
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